Prof. Dr. Jan-Frederik Pietschmann

Lehrstuhlinhaber
Inverse Probleme
Telefon: +49 821 598-3926
E-Mail:
Raum: 1302 (I)
Adresse: Universitätsstraße 12, 86159 Augsburg

 

Sekretariat:

Michaela Diekamp 

 

Hinweise zu Sprechstunden:

nach Vereinbarung per E-Mail.

 

Lebenslauf

 

Seit 2023      Professor für Inverse Probleme, Universität Augsburg

2018-2023    Professor für Inverse Probleme, TU Chemnitz

2018             Habilitation Mathematik, Universität Münster

2015-2018    Wissenschaftlicher Mitarbeiter (DFG Eigene Stelle), Universität Münster

2012-2015    Wissenschaftlicher Mitarbeiter (DFG Eigene Stelle), TU Darmstadt
2012             Wissenschaftlicher Mitarbeiter, KTH Stockholm
2011-2012    Wissenschaftlicher Mitarbeiter, Universität Münster

2008-2011    Promotion, University of Cambridge

2008             Diplom Mathematik, Universität Münster

2008             Diplom Physik, Universität Münster

 

( ausführlicher Lebenslauf mit Publikationsliste)

Forschungsschwerpunkte

  • Analysis nichtlinearer partieller Differentialgleichungen
  • Gradientenflüße
  • Parameteridentifikation in partiellen Differentialgleichungen

Lehrveranstaltungen

Keine Vorlesungen vorhanden.


Publikationen

2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008

2024

Jan-Frederik Pietschmann, Ailyn Stötzner and Max Winkler
Numerical investigation of agent controlled pedestrian dynamics using a structure preserving finite volume scheme

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Jean Cauvin-Vila, Virginie Ehrlacher, Greta Marino and Jan-Frederik Pietschmann
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn–Hilliard system

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Greta Marino, Alois Pichler and Jan-Frederik Pietschmann
Uncertainty analysis for evolution equations

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2023

Greta Marino, Jan-Frederik Pietschmann and Max Winkler
A free boundary model for transport induced neurite growth

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Martin Burger, Ina Humpert and Jan-Frederik Pietschmann
Dynamic optimal transport on networks

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Antonio Esposito, Georg Heinze, Jan‐Frederik Pietschmann and André Schlichting
Graph‐to‐local limit for a multi‐species nonlocal cross‐interaction system

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Georg Heinze, Jan-Frederik Pietschmann and Markus Schmidtchen
Nonlocal cross-interaction systems on graphs: energy landscape and dynamics

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Roland Herzog, Jan-Frederik Pietschmann and Max Winkler
Optimal control of Hughes' model for pedestrian flow via local attraction

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2022

Jan Blechschmidt, Jan-Frederik Pietschmann, Tom-Christian Riemer, Martin Stoll and Max Winkler
A comparison of PINN approaches for drift-diffusion equations on metric graphs

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Maria Bruna, Martin Burger, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Active crowds

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Jan-Frederik Pietschmann and Matthias Schlottbom
Data-driven gradient flows

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Martin Burger, Jan-Frederik Pietschmann, Helene Ranetbauer, Christian Schmeiser and Marie-Therese Wolfram
Mean-field models for segregation dynamics

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Kai Bergmann, Carsten Deibel, Roland Herzog, Roderick C. I. Mackenzie, Jan-Frederik Pietschmann and Martin Stoll
Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors

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2021

V. Ehrlacher, Greta Marino and Jan-Frederik Pietschmann
Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system

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Ina Humpert, Danila Di Meo, Andreas W. Püschel and Jan-Frederik Pietschmann
On the role of vesicle transport in neurite growth: modeling and experiments

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Greta Marino, Jan-Frederik Pietschmann and Alois Pichler
Uncertainty analysis for drift-diffusion equations

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2020

Philipp Werner, Martin Burger and Jan-Frederik Pietschmann
A PDE model for bleb formation and interaction with linker proteins

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Martin Burger, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Data assimilation in price formation

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Sebastian Reichert, Jens Flemming, Qingzhi An, Yana Vaynzof, Jan-Frederik Pietschmann and Carsten Deibel
Ionic-defect distribution revealed by improved evaluation of deep-level transient spectroscopy on perovskite solar cells

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Martin Burger, Ina Humpert and Jan-Frederik Pietschmann
On Fokker-Planck equations with in- and outflow of mass

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Martin Burger, Patricia Friele and Jan-Frederik Pietschmann
On a reaction-cross-diffusion system modeling the growth of glioblastoma

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Martin Burger, José Carrillo, Jan-Frederik Pietschmann and Markus Schmidtchen
Segregation effects and gap formation in cross-diffusion models

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Judith Berendsen, Martin Burger, Virginie Ehrlacher and Jan-Frederik Pietschmann
Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations

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2019

B. Matejczyk, Jan-Frederik Pietschmann, M.-T. Wolfram and G. Richardson
Asymptotic models for transport in large aspect ratio nanopores

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Alexander Lorz, Jan-Frederik Pietschmann and Matthias Schlottbom
Parameter identification in a structured population model

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2018

H. Egger, K. Fellner, Jan-Frederik Pietschmann and B. Q. Tang
Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology

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2017

Bartłomiej Matejczyk, Mónika Valiskó, Marie-Therese Wolfram, Jan-Frederik Pietschmann and Dezső Boda
Multiscale modeling of a rectifying bipolar nanopore: comparing Poisson-Nernst-Planck to Monte Carlo

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Jan-Frederik Pietschmann
Nonlinear diffusion models – analysis and inverse problems

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Kumulative Habilitation, Universität Münster, 2017

Judith Berendsen, Martin Burger and Jan-Frederik Pietschmann
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion

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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms

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2016

Martin Burger and Jan-Frederik Pietschmann
Flow characteristics in a crowded transport model

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2015

Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Identification of chemotaxis models with volume-filling

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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Identification of nonlinear heat conduction laws

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2014

Trevor P. Gamble, Jan-Frederik Pietschmann, Karl Decker, Aleksei Aksimentiev and Zuzanna Siwy
Binding of alkali metals to pore walls in nanopores modulates transmembrane ion current and ionic rectification [Abstract]

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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales

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Trevor Gamble, Karl Decker, Timothy S. Plett, Matthew Pevarnik, Jan-Frederik Pietschmann, Ivan Vlassiouk, Aleksei Aksimentiev and Zuzanna S. Siwy
Rectification of ion current in nanopores depends on the type of monovalent cations: experiments and modeling

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Herbert Egger, Jan-Frederik Pietschmann and Matthias Schlottbom
Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem

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2013

Jan-Frederik Pietschmann
Connection between microscopic and macroscopic models

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Martin Burger, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Identification of nonlinearities in transport-diffusion models of crowded motion

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Jan-Frederik Pietschmann, M.-T. Wolfram, M. Burger, C. Trautmann, G. Nguyen, M. Pevarnik, V. Bayer and Z. Siwy
Rectification properties of conically shaped nanopores: consequences of miniaturization

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2012

Jan-Frederik Pietschmann
On some partial differential equation models in socio-economic contexts - analysis and numerical simulations

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Dissertation, University of Cambridge, 2012

2011

Martin Burger, Peter Alexander Markowich and Jan-Frederik Pietschmann
Continuous limit of a crowd motion and herding model: analysis and numerical simulations

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Jan-Frederik Pietschmann and Barbel Schlake
Lane formation in a microscopic model and the corresponding partial differential equation

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Luis A. Caffarelli, Peter A. Markowich and Jan-Frederik Pietschmann
On a price formation free boundary model by Lasry and Lions

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Marco Di Francesco, Peter A. Markowich, Jan-Frederik Pietschmann and Marie-Therese Wolfram
On the Hughes' model for pedestrian flow: the one-dimensional case

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2010

Martin Burger, Marco Di Francesco, Jan-Frederik Pietschmann and Bärbel Schlake
Nonlinear cross-diffusion with size exclusion

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2009

Bertram Düring, Peter Markowich, Jan-Frederik Pietschmann and Marie-Therese Wolfram
Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders

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P. A. Markowich, N. Matevosyan, Jan-Frederik Pietschmann and M.-T. Wolfram
On a parabolic free boundary equation modeling price formation

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2008

Jan-Frederik Pietschmann
Development of a novel readout system for small animal positron emission tomography

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Diplomarbeit, Universität Münster, 2008

Jan-Frederik Pietschmann
Long-time behaviour of nonlinear Fokker-Planck equations

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Diplomarbeit, Universität Münster, 2008

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